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Finding the Third Proportional to 159,189 and 240,833

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Solution

The third proportional to 159,189 and 240,833 is: 364,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,189 : 240,833 = 240,833 : x
  2. Step 2: Convert to fraction form
    159,189/240,833 = 240,833/x
  3. Step 3: Cross multiply
    159,189x = 240,833 × 240,833
  4. Step 4: Simplify right side
    159,189x = 58,000,533,889
  5. Step 5: Solve for x
    x = 58,000,533,889/159,189
  6. Step 6: Final answer
    x = 364,350.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.